2. Suppose that you are a firm that produces violins. You have a production technolog:;.r to produce violins that is Y : KIIZLIEZ Where k represents the units of capital employed and L is the labor hours employed to produce the violins. Y is the value of the total production of violins. Assume that labor costs $20 per hour and that rental price of capital is $400 per unit. a] If the rm uses 500 units of capital. Calculate your optimal choice of labor to produce $503000 worth of violins. b) What is the marginal cost of labor and the marginal cost of capital? Calculate the 1value if the rm uses now 1000 units of capital and needs 1500 hours of labor